An analytical laboratory is asked to evaluate the claim that the concentration of the active ingredient in a specimen is 86%. The lab makes 3 repeated analyses of the specimen. The sample mean result is 0.8708. The true concentration is the mean m of the population of all analyses of the specimen. The standard deviation of the analysis process is known to be LaTeX: \sigmaσ = 0.0068. Is there significant evidence at the 1% level that LaTeX: \muμ is different than 0.86? (assume normality)

Answers

Answer 1

Answer:

Decision rule

   Reject null hypothesis

Conclusion

There is significance evidence that the true mean is different from 0.86

Step-by-step explanation:

From the question we are told that

  The population mean   [tex]\mu  = 0.86[/tex]

   The  sample is  mean is [tex]\=  x  =  0.8708[/tex]

  The standard deviation is  [tex]\sigma =  0.0068[/tex]

The  level of significance is  [tex]\alpha  =  0.01[/tex]

  The  sample size n =  3

The null hypothesis is  [tex]\mu =  0.86[/tex]

The alternative hypothesis  is [tex]\mu \ne  0.86[/tex]

Generally the test statistics is mathematically represented as  

    [tex]z =  \frac{\=  x  - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]

=> [tex]z =  \frac{ 0.8708 - 0.86 }{ \frac{0.0068}{\sqrt{3} } }[/tex]

=>  [tex]z =  2.751  [/tex]  

Generally  p- value is mathematically represented as

       [tex]p-value =  2 P(z >2.751   )[/tex]

From the z-table  

        [tex]P(z >2.751 ) =  0.0029707[/tex]

So

     [tex]p-value =  2 *  0.0029707[/tex]

=>   [tex]p-value =  0.00594 [/tex]

From the obtained question we see that  [tex]p-value  <  \alpha[/tex]

Hence we reject the null hypothesis

 


Related Questions

Write and solve an equation to find the value of x and the missing angle measures.

Answers

7x + 18 = 8x + 7 bcuz they are alternate exterior angles
18-7 = 8x - 7x
11 = x

So the angle measures are
95 and 95

Answer:

x = 11 --> angles = 95 degrees

Step-by-step explanation:

They are equal to each other so

7x + 18 = 8x + 7

Put the like terms together

18 - 7 = 8x - 7x

11 = x

so when we substitute this value of x into the equations, we get that both angles are 95 degrees.

Hope this helps!

​what is
9(x​6)=207
answer it step by step

Answers

Answer: x=1.686377,−1.686377

Step-by-step explanation:

9x6=207

Step 1: Divide both sides by 9.

9x6/9=207/9

x6=23

Step 2: Take root.

x=±(23)(16)

x=1.686377,−1.686377

What is the Vertex of the Absolute Value parent function?
(1,1)
[0,0)
(0,0)
0 (-00,00)

Answers

Answer:

Step-by-step explanation:

(0,0)

:I

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Answer:

it is 17

Step-by-step explanation:

hope this helps :)

Answer:

21

Step-by-step explanation:

4x-12=72

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4x=84

/4   /4

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Which is the equation for the line in slope-intercept form if:
m = -3/2 : b = 5
y = 5x + (-3/2)
y=(-3/2)x+ 5
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Answers

the answer is y=(-3/2)x+5

this is because the slope and the y intercept is included in that one in the y=mx+b format.

Every year, the population of a small town doubles. It starts off with 150 people. How many people are in the town in 7 years?

Answers

Answer:

1050

Step-by-step explanation:

Multiply 150 by 7

Consider the numbers 9 and 12. What is the product of the greatest common factor and the least common multiple for the numbers?

Answers

Answer:

108

Step-by-step explanation:

GCF of 9 and 12 = 3

LCM of 9 and 12 = 36

36 x 3 = 108

Hope this helped!

100 is 10 times much as

Answers

Answer:

?? If you answer is how does 10 become 100, you multiply 10 by 10?? Sorry

Step-by-step explanation:

Answer:

100 is 10 times as much as 10

Step-by-step explanation:

10 times 10 is 100.

factor 4x^2 -6w+2x-12xw

Answers

Answer:

2(2x+1)(x-3w)

We could break this up into
(4x^2 - 6w) + (2x - 12xw)
The only thing the first term has in common is a 2. The second term has a 2 and an x in common. So:

2(2x^2 - 3w) + 2x(1 - 6w)

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Answers

Answer:

QR and TM never intersect

Step-by-step explanation:

this is the only answer that is ALWAYS true

Please help me i cant figure this out!

Answers

Answer:

Step-by-step explanation:

2 a. she has $10 in 5 days.

2 b. she 5 days.

1 a. 1 1/2 divided by 6=0.27 27/100

1 b. 3/4+1/3= 0.58 58/100=29/50

1 c. 1/12

What is the value of -2.4 /1.5?
A -1.6
B. 1.6
C. -0.9

Answers

Answer: -1.6

-2.4 divided by 1.5 is -1.6

Pls answer this quick! Thank you!

Answers

Answer:

The answer is -11 and -9 only

Step-by-step explanation:

PLEASE HELP. I HAVE LIMITED TIME.

5. X to the fourth power plus the product of six and the square root of nine.
6. Fifteen plus eight cubed minus the sum of fourteen and six squared.
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i think this is it, but i’m not sure about the last one

What would A,B,C,D,F be?

Answers

Answer:

A would be 60

B would be 50

C would be 70

D would be 110

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Xis all of the following except
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a variable
a constant
a an expression
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Answers

Answer:

a variable

Step-by-step explanation:

a variable.

x is not an expression unless it has signs. so x by itself would not be an expression without different numbers and sign between

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Find the numbers.

Answers

the numbers are -14 and -16

Find the LCM of 9,25,36 and 73 ?​

Answers

Step-by-step explanation:

9 = 9 , 25 = 5 , 36 = 36

if it's helpful please tell me

Answer: The least common multiple is 65700

Step-by-step explanation:

To begin, find the prime factors of the given numbers, (and you find they have very little in common.)

9=3×3   25=5×5   36=2×2×3×3  73= 73×1  (73 is a prime number)

Only the 3's of 36 overlap with the 3's of 9

To find the LCM you must multiply all the prime factors that don't overlap:

3×3×5×5×2×2×73

If the 73 is changed to 72, the LCM is a somewhat lower number: 1800.

To test these LCM's try dividing by any of the factors or numbers given.

If the quotient is not a whole number, the LCM doesn't include that factor.

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Answers

Answer: 2

Step-by-step explanation:

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(if you come in here saying you don’t know and you’re here just for the points, your answer will be reported )
The distribution of the gas mileage of a fleet of cars is shown in the following chart. Which box-and-whisker plot corresponds to this distribution?

Answers

Answer:

C is definantly the correct one, none of the others will work :) I wish you luck on your work.

Step-by-step explanation:

<3

The box-and-whisker plot corresponds to this distribution is A.

What is Box plot?

An illustration of variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data on the same graph.

We have, The distribution of the gas mileage of a fleet of cars.

From the data,

Minimum value = 28

lower quartile = 29

Median= 30

Upper quartile = 31

Maximum value = 32

Here the box plot represent the above parameters in box plot A.

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https://brainly.com/question/2742784

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A computer is normally $600. It is discounted and now it is only $450. What percent of the original price do you now pay?

Answers

Answer:

Hi there

Your answer is

We pay 75% of the original price.

Step-by-step explanation:

600$=100%

/600

1$ = 1/6%

*450

450$ = 75%

Hey guys, can you please check if this answer is right? If it’s wrong, please try to answer it for me

Answers

Answer:

well done buddy it is correct..

Step-by-step explanation:

please mark me as the brainliest answer and please follow me for more answers to your questions and if you want to follow me you must first click on my name and then you will see follow button.. pls click on the follow button.


A car travels 26.35 miles with one gallon of gas. The tank
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Explain the error in the problem and then solve correctly.

Answers

Answer:

566.525

Step-by-step explanation:

26.35 × 21.5

The scale on a map js 1cm : 6.6 km the distance between two cities on the map is 18cm what is the actual distance between the two cities

Answers

Answer:

118.8 km

Step-by-step explanation:

Given

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To find

18 cm

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can someone tell me whats the different between 4.091 and 2.174

Answers

Answer:

1.917

Step-by-step explanation:

The difference between 4.091 and 2.174 will be;

⇒ 1.917

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The numbers are,

⇒ 4.091 and 2.174

Now,

Since, The numbers are,

⇒ 4.091 and 2.174

Hence, The difference the number 4.091 and 2.174 is,

⇒ 4.091 - 2.174

⇒ 1.917

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Which point on the graph represents the y-intercept?
у
5
V
4
N 03
W
>
1
1
N
-5 4 -3 -2 -14
1 2 3 4
12
4
25

Answers

Take a picture of the assignment and post it in your question.

Answer:

a

Step-by-step explanation:

did it on edge 2020

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Answer:

yo its not that hard it just means that it can be any number

If Sue can sew 3 dresses in 8 hours, how many hours will it take sue to sew 9 dresses?

Answers

24 hours

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Answer:

Step-by-step explanation:

24 hours because 3 x3 is 9 making it possible for you to multiply 8 by 3. So 8 x 3 is 24 hours.

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| y-x| + y-1


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Answers

Answer:

-4

Step-by-step explanation:

So we are given the expression: | y - x | + y - 1, and we have our values for (x,y): (-3,-6).

So, we can just start plugging things in and simplifying, so:

| -6 + 3 | - 6 - 1 = | -3 | -7

                       = 3 - 7

                       = -4

Write the numbers -2.1, -1 5/6, -1 2/3 and -2.2 in the form a/b from greatest to least.

Answers

Answer:

2/3, -1/1, -1 5/6, -2 1/10, -2 1/5

Step-by-step explanation:

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